Danielle has taken five math tests so far this year. The tests are out of twenty points, and she has gotten the following scores
2 answers:
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Answer:
V ≈ 3367.6 cm³
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = πr³ ( r is the radius )
Here D = 18.6 , then r = 18.6 ÷ 2 = 9.3 , so
V = × 3.14 × 9.3³
= × 3.14 × 804.357
=
≈ 3367.6 cm³ ( to the nearest tenth )
Answer:
a)
b)
Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point given and a slope from the equation. We will chose point-slope since we have a point and can find the slope.
Point slope:
a) in our new equation because it is perpendicular to it. This means we will need to change it into its negative reciprocal which is
.
We will substitute and
.
This simplifies to:
b) The equation y=3x+4 follows y=mx+b. For the perpendicular line, . We will need to change it into its negative reciprocal which is
.
We will substitute and
.